TSTP Solution File: SEU191+2 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SEU191+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:25:10 EDT 2023
% Result : Theorem 935.48s 118.49s
% Output : CNFRefutation 935.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 69 ( 19 unt; 0 def)
% Number of atoms : 257 ( 30 equ)
% Maximal formula atoms : 38 ( 3 avg)
% Number of connectives : 324 ( 136 ~; 138 |; 27 &)
% ( 10 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-5 aty)
% Number of variables : 134 ( 9 sgn; 62 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d10_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> ( X2 = identity_relation(X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(X3,X1)
& X3 = X4 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.sChUMB7nQ9/E---3.1_11173.p',d10_relat_1) ).
fof(dt_k6_relat_1,axiom,
! [X1] : relation(identity_relation(X1)),
file('/export/starexec/sandbox/tmp/tmp.sChUMB7nQ9/E---3.1_11173.p',dt_k6_relat_1) ).
fof(t74_relat_1,conjecture,
! [X1,X2,X3,X4] :
( relation(X4)
=> ( in(ordered_pair(X1,X2),relation_composition(identity_relation(X3),X4))
<=> ( in(X1,X3)
& in(ordered_pair(X1,X2),X4) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.sChUMB7nQ9/E---3.1_11173.p',t74_relat_1) ).
fof(d8_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ! [X3] :
( relation(X3)
=> ( X3 = relation_composition(X1,X2)
<=> ! [X4,X5] :
( in(ordered_pair(X4,X5),X3)
<=> ? [X6] :
( in(ordered_pair(X4,X6),X1)
& in(ordered_pair(X6,X5),X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.sChUMB7nQ9/E---3.1_11173.p',d8_relat_1) ).
fof(dt_k5_relat_1,axiom,
! [X1,X2] :
( ( relation(X1)
& relation(X2) )
=> relation(relation_composition(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.sChUMB7nQ9/E---3.1_11173.p',dt_k5_relat_1) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/export/starexec/sandbox/tmp/tmp.sChUMB7nQ9/E---3.1_11173.p',t7_boole) ).
fof(t1_subset,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.sChUMB7nQ9/E---3.1_11173.p',t1_subset) ).
fof(fc9_relat_1,axiom,
! [X1,X2] :
( ( empty(X1)
& relation(X2) )
=> ( empty(relation_composition(X1,X2))
& relation(relation_composition(X1,X2)) ) ),
file('/export/starexec/sandbox/tmp/tmp.sChUMB7nQ9/E---3.1_11173.p',fc9_relat_1) ).
fof(d2_subset_1,axiom,
! [X1,X2] :
( ( ~ empty(X1)
=> ( element(X2,X1)
<=> in(X2,X1) ) )
& ( empty(X1)
=> ( element(X2,X1)
<=> empty(X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.sChUMB7nQ9/E---3.1_11173.p',d2_subset_1) ).
fof(fc1_zfmisc_1,axiom,
! [X1,X2] : ~ empty(ordered_pair(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.sChUMB7nQ9/E---3.1_11173.p',fc1_zfmisc_1) ).
fof(c_0_10,plain,
! [X89,X90,X91,X92,X93,X94] :
( ( in(X91,X89)
| ~ in(ordered_pair(X91,X92),X90)
| X90 != identity_relation(X89)
| ~ relation(X90) )
& ( X91 = X92
| ~ in(ordered_pair(X91,X92),X90)
| X90 != identity_relation(X89)
| ~ relation(X90) )
& ( ~ in(X93,X89)
| X93 != X94
| in(ordered_pair(X93,X94),X90)
| X90 != identity_relation(X89)
| ~ relation(X90) )
& ( ~ in(ordered_pair(esk22_2(X89,X90),esk23_2(X89,X90)),X90)
| ~ in(esk22_2(X89,X90),X89)
| esk22_2(X89,X90) != esk23_2(X89,X90)
| X90 = identity_relation(X89)
| ~ relation(X90) )
& ( in(esk22_2(X89,X90),X89)
| in(ordered_pair(esk22_2(X89,X90),esk23_2(X89,X90)),X90)
| X90 = identity_relation(X89)
| ~ relation(X90) )
& ( esk22_2(X89,X90) = esk23_2(X89,X90)
| in(ordered_pair(esk22_2(X89,X90),esk23_2(X89,X90)),X90)
| X90 = identity_relation(X89)
| ~ relation(X90) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_relat_1])])])])])]) ).
fof(c_0_11,plain,
! [X97] : relation(identity_relation(X97)),
inference(variable_rename,[status(thm)],[dt_k6_relat_1]) ).
fof(c_0_12,negated_conjecture,
~ ! [X1,X2,X3,X4] :
( relation(X4)
=> ( in(ordered_pair(X1,X2),relation_composition(identity_relation(X3),X4))
<=> ( in(X1,X3)
& in(ordered_pair(X1,X2),X4) ) ) ),
inference(assume_negation,[status(cth)],[t74_relat_1]) ).
fof(c_0_13,plain,
! [X62,X63,X64,X65,X66,X68,X69,X70,X73] :
( ( in(ordered_pair(X65,esk18_5(X62,X63,X64,X65,X66)),X62)
| ~ in(ordered_pair(X65,X66),X64)
| X64 != relation_composition(X62,X63)
| ~ relation(X64)
| ~ relation(X63)
| ~ relation(X62) )
& ( in(ordered_pair(esk18_5(X62,X63,X64,X65,X66),X66),X63)
| ~ in(ordered_pair(X65,X66),X64)
| X64 != relation_composition(X62,X63)
| ~ relation(X64)
| ~ relation(X63)
| ~ relation(X62) )
& ( ~ in(ordered_pair(X68,X70),X62)
| ~ in(ordered_pair(X70,X69),X63)
| in(ordered_pair(X68,X69),X64)
| X64 != relation_composition(X62,X63)
| ~ relation(X64)
| ~ relation(X63)
| ~ relation(X62) )
& ( ~ in(ordered_pair(esk19_3(X62,X63,X64),esk20_3(X62,X63,X64)),X64)
| ~ in(ordered_pair(esk19_3(X62,X63,X64),X73),X62)
| ~ in(ordered_pair(X73,esk20_3(X62,X63,X64)),X63)
| X64 = relation_composition(X62,X63)
| ~ relation(X64)
| ~ relation(X63)
| ~ relation(X62) )
& ( in(ordered_pair(esk19_3(X62,X63,X64),esk21_3(X62,X63,X64)),X62)
| in(ordered_pair(esk19_3(X62,X63,X64),esk20_3(X62,X63,X64)),X64)
| X64 = relation_composition(X62,X63)
| ~ relation(X64)
| ~ relation(X63)
| ~ relation(X62) )
& ( in(ordered_pair(esk21_3(X62,X63,X64),esk20_3(X62,X63,X64)),X63)
| in(ordered_pair(esk19_3(X62,X63,X64),esk20_3(X62,X63,X64)),X64)
| X64 = relation_composition(X62,X63)
| ~ relation(X64)
| ~ relation(X63)
| ~ relation(X62) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_relat_1])])])])])]) ).
fof(c_0_14,plain,
! [X75,X76] :
( ~ relation(X75)
| ~ relation(X76)
| relation(relation_composition(X75,X76)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_relat_1])]) ).
fof(c_0_15,plain,
! [X141,X142] :
( ~ in(X141,X142)
| ~ empty(X142) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
cnf(c_0_16,plain,
( in(ordered_pair(X1,X3),X4)
| ~ in(X1,X2)
| X1 != X3
| X4 != identity_relation(X2)
| ~ relation(X4) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
relation(identity_relation(X1)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_18,negated_conjecture,
( relation(esk4_0)
& ( ~ in(ordered_pair(esk1_0,esk2_0),relation_composition(identity_relation(esk3_0),esk4_0))
| ~ in(esk1_0,esk3_0)
| ~ in(ordered_pair(esk1_0,esk2_0),esk4_0) )
& ( in(esk1_0,esk3_0)
| in(ordered_pair(esk1_0,esk2_0),relation_composition(identity_relation(esk3_0),esk4_0)) )
& ( in(ordered_pair(esk1_0,esk2_0),esk4_0)
| in(ordered_pair(esk1_0,esk2_0),relation_composition(identity_relation(esk3_0),esk4_0)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])]) ).
fof(c_0_19,plain,
! [X167,X168] :
( ~ in(X167,X168)
| element(X167,X168) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_20,plain,
( in(ordered_pair(X1,esk18_5(X2,X3,X4,X1,X5)),X2)
| ~ in(ordered_pair(X1,X5),X4)
| X4 != relation_composition(X2,X3)
| ~ relation(X4)
| ~ relation(X3)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X1)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
( in(X1,X2)
| ~ in(ordered_pair(X1,X3),X4)
| X4 != identity_relation(X2)
| ~ relation(X4) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_23,plain,
( ~ in(X1,X2)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,plain,
( in(ordered_pair(X1,X1),identity_relation(X2))
| ~ in(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_16])]),c_0_17])]) ).
cnf(c_0_25,negated_conjecture,
( in(esk1_0,esk3_0)
| in(ordered_pair(esk1_0,esk2_0),relation_composition(identity_relation(esk3_0),esk4_0)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_26,plain,
! [X79,X80] :
( ( empty(relation_composition(X79,X80))
| ~ empty(X79)
| ~ relation(X80) )
& ( relation(relation_composition(X79,X80))
| ~ empty(X79)
| ~ relation(X80) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc9_relat_1])])]) ).
fof(c_0_27,plain,
! [X1,X2] :
( ( ~ empty(X1)
=> ( element(X2,X1)
<=> in(X2,X1) ) )
& ( empty(X1)
=> ( element(X2,X1)
<=> empty(X2) ) ) ),
inference(fof_simplification,[status(thm)],[d2_subset_1]) ).
cnf(c_0_28,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_29,plain,
( in(ordered_pair(X1,esk18_5(X2,X3,relation_composition(X2,X3),X1,X4)),X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(ordered_pair(X1,X4),relation_composition(X2,X3)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_20]),c_0_21]) ).
cnf(c_0_30,negated_conjecture,
relation(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_31,plain,
( in(X1,X2)
| ~ in(ordered_pair(X1,X3),identity_relation(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_22]),c_0_17])]) ).
cnf(c_0_32,plain,
( ~ empty(identity_relation(X1))
| ~ in(X2,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_33,negated_conjecture,
( in(esk1_0,esk3_0)
| ~ empty(relation_composition(identity_relation(esk3_0),esk4_0)) ),
inference(spm,[status(thm)],[c_0_23,c_0_25]) ).
cnf(c_0_34,plain,
( empty(relation_composition(X1,X2))
| ~ empty(X1)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,plain,
( in(ordered_pair(X1,X4),X6)
| ~ in(ordered_pair(X1,X2),X3)
| ~ in(ordered_pair(X2,X4),X5)
| X6 != relation_composition(X3,X5)
| ~ relation(X6)
| ~ relation(X5)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_36,negated_conjecture,
( in(ordered_pair(esk1_0,esk2_0),esk4_0)
| in(ordered_pair(esk1_0,esk2_0),relation_composition(identity_relation(esk3_0),esk4_0)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_37,plain,
! [X125,X126] :
( ( ~ element(X126,X125)
| in(X126,X125)
| empty(X125) )
& ( ~ in(X126,X125)
| element(X126,X125)
| empty(X125) )
& ( ~ element(X126,X125)
| empty(X126)
| ~ empty(X125) )
& ( ~ empty(X126)
| element(X126,X125)
| ~ empty(X125) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).
cnf(c_0_38,plain,
( element(ordered_pair(X1,X1),identity_relation(X2))
| ~ in(X1,X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_24]) ).
cnf(c_0_39,negated_conjecture,
in(esk1_0,esk3_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_25]),c_0_30]),c_0_17])]),c_0_31]) ).
cnf(c_0_40,negated_conjecture,
( ~ empty(relation_composition(identity_relation(esk3_0),esk4_0))
| ~ empty(identity_relation(esk3_0)) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_41,negated_conjecture,
( empty(relation_composition(X1,esk4_0))
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_30]) ).
cnf(c_0_42,plain,
( in(ordered_pair(X1,X2),relation_composition(X3,X4))
| ~ relation(X4)
| ~ relation(X3)
| ~ in(ordered_pair(X5,X2),X4)
| ~ in(ordered_pair(X1,X5),X3) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_35]),c_0_21]) ).
cnf(c_0_43,negated_conjecture,
( element(ordered_pair(esk1_0,esk2_0),relation_composition(identity_relation(esk3_0),esk4_0))
| in(ordered_pair(esk1_0,esk2_0),esk4_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_36]) ).
cnf(c_0_44,plain,
( in(X1,X2)
| empty(X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_45,negated_conjecture,
element(ordered_pair(esk1_0,esk1_0),identity_relation(esk3_0)),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_46,negated_conjecture,
~ empty(identity_relation(esk3_0)),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
fof(c_0_47,plain,
! [X1,X2] : ~ empty(ordered_pair(X1,X2)),
inference(fof_simplification,[status(thm)],[fc1_zfmisc_1]) ).
cnf(c_0_48,negated_conjecture,
( element(ordered_pair(esk1_0,esk2_0),relation_composition(identity_relation(esk3_0),esk4_0))
| in(ordered_pair(X1,esk2_0),relation_composition(X2,esk4_0))
| ~ relation(X2)
| ~ in(ordered_pair(X1,esk1_0),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_30])]) ).
cnf(c_0_49,negated_conjecture,
in(ordered_pair(esk1_0,esk1_0),identity_relation(esk3_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).
fof(c_0_50,plain,
! [X50,X51] : ~ empty(ordered_pair(X50,X51)),
inference(variable_rename,[status(thm)],[c_0_47]) ).
cnf(c_0_51,plain,
( empty(X1)
| ~ element(X1,X2)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_52,negated_conjecture,
element(ordered_pair(esk1_0,esk2_0),relation_composition(identity_relation(esk3_0),esk4_0)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_17])]),c_0_28]) ).
cnf(c_0_53,plain,
~ empty(ordered_pair(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_54,plain,
( in(ordered_pair(esk18_5(X1,X2,X3,X4,X5),X5),X2)
| ~ in(ordered_pair(X4,X5),X3)
| X3 != relation_composition(X1,X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_55,negated_conjecture,
( ~ in(ordered_pair(esk1_0,esk2_0),relation_composition(identity_relation(esk3_0),esk4_0))
| ~ in(esk1_0,esk3_0)
| ~ in(ordered_pair(esk1_0,esk2_0),esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_56,negated_conjecture,
~ empty(relation_composition(identity_relation(esk3_0),esk4_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]) ).
cnf(c_0_57,plain,
( X1 = X2
| ~ in(ordered_pair(X1,X2),X3)
| X3 != identity_relation(X4)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_58,plain,
( in(ordered_pair(esk18_5(X1,X2,relation_composition(X1,X2),X3,X4),X4),X2)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(ordered_pair(X3,X4),relation_composition(X1,X2)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_54]),c_0_21]) ).
cnf(c_0_59,negated_conjecture,
( ~ in(ordered_pair(esk1_0,esk2_0),relation_composition(identity_relation(esk3_0),esk4_0))
| ~ in(ordered_pair(esk1_0,esk2_0),esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_39])]) ).
cnf(c_0_60,negated_conjecture,
in(ordered_pair(esk1_0,esk2_0),relation_composition(identity_relation(esk3_0),esk4_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_52]),c_0_56]) ).
cnf(c_0_61,plain,
( X1 = X2
| ~ in(ordered_pair(X1,X2),identity_relation(X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_57]),c_0_17])]) ).
cnf(c_0_62,negated_conjecture,
( in(ordered_pair(esk1_0,esk18_5(identity_relation(esk3_0),esk4_0,relation_composition(identity_relation(esk3_0),esk4_0),esk1_0,esk2_0)),identity_relation(esk3_0))
| in(ordered_pair(esk1_0,esk2_0),esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_36]),c_0_30]),c_0_17])]) ).
cnf(c_0_63,negated_conjecture,
( in(ordered_pair(esk18_5(identity_relation(esk3_0),esk4_0,relation_composition(identity_relation(esk3_0),esk4_0),esk1_0,esk2_0),esk2_0),esk4_0)
| in(ordered_pair(esk1_0,esk2_0),esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_36]),c_0_30]),c_0_17])]) ).
cnf(c_0_64,negated_conjecture,
~ in(ordered_pair(esk1_0,esk2_0),esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_60])]) ).
cnf(c_0_65,negated_conjecture,
( esk18_5(identity_relation(esk3_0),esk4_0,relation_composition(identity_relation(esk3_0),esk4_0),esk1_0,esk2_0) = esk1_0
| in(ordered_pair(esk1_0,esk2_0),esk4_0) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_66,negated_conjecture,
in(ordered_pair(esk18_5(identity_relation(esk3_0),esk4_0,relation_composition(identity_relation(esk3_0),esk4_0),esk1_0,esk2_0),esk2_0),esk4_0),
inference(sr,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_67,negated_conjecture,
esk18_5(identity_relation(esk3_0),esk4_0,relation_composition(identity_relation(esk3_0),esk4_0),esk1_0,esk2_0) = esk1_0,
inference(sr,[status(thm)],[c_0_65,c_0_64]) ).
cnf(c_0_68,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_64]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU191+2 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.15 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 2400
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Oct 2 08:54:37 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.50 Running first-order theorem proving
% 0.21/0.50 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.sChUMB7nQ9/E---3.1_11173.p
% 935.48/118.49 # Version: 3.1pre001
% 935.48/118.49 # Preprocessing class: FSLSSMSSSSSNFFN.
% 935.48/118.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 935.48/118.49 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 935.48/118.49 # Starting new_bool_3 with 300s (1) cores
% 935.48/118.49 # Starting new_bool_1 with 300s (1) cores
% 935.48/118.49 # Starting sh5l with 300s (1) cores
% 935.48/118.49 # new_bool_1 with pid 11302 completed with status 0
% 935.48/118.49 # Result found by new_bool_1
% 935.48/118.49 # Preprocessing class: FSLSSMSSSSSNFFN.
% 935.48/118.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 935.48/118.49 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 935.48/118.49 # Starting new_bool_3 with 300s (1) cores
% 935.48/118.49 # Starting new_bool_1 with 300s (1) cores
% 935.48/118.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 935.48/118.49 # Search class: FGHSM-FFMM31-SFFFFFNN
% 935.48/118.49 # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 935.48/118.49 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 28s (1) cores
% 935.48/118.49 # G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 11309 completed with status 7
% 935.48/118.49 # Starting new_bool_1 with 31s (1) cores
% 935.48/118.49 # new_bool_1 with pid 12254 completed with status 7
% 935.48/118.49 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 28s (1) cores
% 935.48/118.49 # G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with pid 13363 completed with status 7
% 935.48/118.49 # Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 28s (1) cores
% 935.48/118.49 # G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 13366 completed with status 7
% 935.48/118.49 # Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 28s (1) cores
% 935.48/118.49 # G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with pid 13415 completed with status 0
% 935.48/118.49 # Result found by G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AI
% 935.48/118.49 # Preprocessing class: FSLSSMSSSSSNFFN.
% 935.48/118.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 935.48/118.49 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 935.48/118.49 # Starting new_bool_3 with 300s (1) cores
% 935.48/118.49 # Starting new_bool_1 with 300s (1) cores
% 935.48/118.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 935.48/118.49 # Search class: FGHSM-FFMM31-SFFFFFNN
% 935.48/118.49 # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 935.48/118.49 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 28s (1) cores
% 935.48/118.49 # G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 11309 completed with status 7
% 935.48/118.49 # Starting new_bool_1 with 31s (1) cores
% 935.48/118.49 # new_bool_1 with pid 12254 completed with status 7
% 935.48/118.49 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 28s (1) cores
% 935.48/118.49 # G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with pid 13363 completed with status 7
% 935.48/118.49 # Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 28s (1) cores
% 935.48/118.49 # G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 13366 completed with status 7
% 935.48/118.49 # Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 28s (1) cores
% 935.48/118.49 # Preprocessing time : 0.002 s
% 935.48/118.49 # Presaturation interreduction done
% 935.48/118.49
% 935.48/118.49 # Proof found!
% 935.48/118.49 # SZS status Theorem
% 935.48/118.49 # SZS output start CNFRefutation
% See solution above
% 935.48/118.49 # Parsed axioms : 177
% 935.48/118.49 # Removed by relevancy pruning/SinE : 105
% 935.48/118.49 # Initial clauses : 133
% 935.48/118.49 # Removed in clause preprocessing : 0
% 935.48/118.49 # Initial clauses in saturation : 133
% 935.48/118.49 # Processed clauses : 11490
% 935.48/118.49 # ...of these trivial : 105
% 935.48/118.49 # ...subsumed : 7097
% 935.48/118.49 # ...remaining for further processing : 4288
% 935.48/118.49 # Other redundant clauses eliminated : 32
% 935.48/118.49 # Clauses deleted for lack of memory : 0
% 935.48/118.49 # Backward-subsumed : 1485
% 935.48/118.49 # Backward-rewritten : 128
% 935.48/118.49 # Generated clauses : 91766
% 935.48/118.49 # ...of the previous two non-redundant : 88059
% 935.48/118.49 # ...aggressively subsumed : 0
% 935.48/118.49 # Contextual simplify-reflections : 56
% 935.48/118.49 # Paramodulations : 91713
% 935.48/118.49 # Factorizations : 8
% 935.48/118.49 # NegExts : 0
% 935.48/118.49 # Equation resolutions : 34
% 935.48/118.49 # Total rewrite steps : 36985
% 935.48/118.49 # Propositional unsat checks : 0
% 935.48/118.49 # Propositional check models : 0
% 935.48/118.49 # Propositional check unsatisfiable : 0
% 935.48/118.49 # Propositional clauses : 0
% 935.48/118.49 # Propositional clauses after purity: 0
% 935.48/118.49 # Propositional unsat core size : 0
% 935.48/118.49 # Propositional preprocessing time : 0.000
% 935.48/118.49 # Propositional encoding time : 0.000
% 935.48/118.49 # Propositional solver time : 0.000
% 935.48/118.49 # Success case prop preproc time : 0.000
% 935.48/118.49 # Success case prop encoding time : 0.000
% 935.48/118.49 # Success case prop solver time : 0.000
% 935.48/118.49 # Current number of processed clauses : 2523
% 935.48/118.49 # Positive orientable unit clauses : 105
% 935.48/118.49 # Positive unorientable unit clauses: 0
% 935.48/118.49 # Negative unit clauses : 198
% 935.48/118.49 # Non-unit-clauses : 2220
% 935.48/118.49 # Current number of unprocessed clauses: 75865
% 935.48/118.49 # ...number of literals in the above : 182193
% 935.48/118.49 # Current number of archived formulas : 0
% 935.48/118.49 # Current number of archived clauses : 1744
% 935.48/118.49 # Clause-clause subsumption calls (NU) : 896159
% 935.48/118.49 # Rec. Clause-clause subsumption calls : 630315
% 935.48/118.49 # Non-unit clause-clause subsumptions : 3466
% 935.48/118.49 # Unit Clause-clause subsumption calls : 76579
% 935.48/118.49 # Rewrite failures with RHS unbound : 0
% 935.48/118.49 # BW rewrite match attempts : 268
% 935.48/118.49 # BW rewrite match successes : 34
% 935.48/118.49 # Condensation attempts : 0
% 935.48/118.49 # Condensation successes : 0
% 935.48/118.49 # Termbank termtop insertions : 1189325
% 935.48/118.49
% 935.48/118.49 # -------------------------------------------------
% 935.48/118.49 # User time : 114.527 s
% 935.48/118.49 # System time : 2.425 s
% 935.48/118.49 # Total time : 116.952 s
% 935.48/118.49 # Maximum resident set size: 2296 pages
% 935.48/118.49
% 935.48/118.49 # -------------------------------------------------
% 935.48/118.49 # User time : 114.533 s
% 935.48/118.49 # System time : 2.430 s
% 935.48/118.49 # Total time : 116.963 s
% 935.48/118.49 # Maximum resident set size: 1864 pages
% 935.48/118.49 % E---3.1 exiting
% 935.48/118.49 % E---3.1 exiting
%------------------------------------------------------------------------------